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Class 9
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>>Heron's Formula
>>Area of Quadrilateral
>>A field is in the shape of a trapezium w
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A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.
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Solution

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Construction:
⇒Draw BE∥AD such that D−E−C
⇒Draw BM⊥DC such that D−E−M−C
□ABED is parallelogram,
⇒AD=BE=13 m
⇒AB=DE=10 m
⇒BC=14 m
⇒DC=DE+EC ....(∵D−E−C)
∴EC=25−10
∴EC=15 m
⇒In ΔBEC
⇒2S=13+14+15
⇒S=21 m
⇒Area of △BEC
⇒A=s(s−a)(s−b)(s−c)
=21(21−13)(21−14)(21−15)
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